2024214120113 has 2 divisors, whose sum is σ = 2024214120114. Its totient is φ = 2024214120112.

The previous prime is 2024214120083. The next prime is 2024214120143. The reversal of 2024214120113 is 3110214124202.

It is a balanced prime because it is at equal distance from previous prime (2024214120083) and next prime (2024214120143).

It can be written as a sum of positive squares in only one way, i.e., 1103712032929 + 920502087184 = 1050577^2 + 959428^2 .

It is a cyclic number.

It is not a de Polignac number, because 2024214120113 - 2²⁴ = 2024197342897 is a prime.

It is a super-2 number, since 2×2024214120113² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2024214120143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1012107060056 + 1012107060057.

It is an arithmetic number, because the mean of its divisors is an integer number (1012107060057).

Almost surely, 2^{2024214120113} is an apocalyptic number.

It is an amenable number.

2024214120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2024214120113 is an equidigital number, since it uses as much as digits as its factorization.

2024214120113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2024214120113 its reverse (3110214124202), we get a palindrome (5134428244315).

The spelling of 2024214120113 in words is "two trillion, twenty-four billion, two hundred fourteen million, one hundred twenty thousand, one hundred thirteen".